12601506880 has 224 divisors, whose sum is σ = 31991747040. Its totient is φ = 4720558080.

The previous prime is 12601506871. The next prime is 12601506949. The reversal of 12601506880 is 8860510621.

It can be written as a sum of positive squares in 16 ways, for example, as 5958604864 + 6642902016 = 77192^2 + 81504^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63966942 + ... + 63967138.

Almost surely, 2^12601506880 is an apocalyptic number.

12601506880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12601506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15995873520).

12601506880 is an abundant number, since it is smaller than the sum of its proper divisors (19390240160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12601506880 is a wasteful number, since it uses less digits than its factorization.

12601506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 12601506880 in words is "twelve billion, six hundred one million, five hundred six thousand, eight hundred eighty".